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Simplifying 8x + 31 = 6x + 17 Reorder the terms: 31 + 8x = 6x + 17 Reorder the terms: 31 + 8x = 17 + 6x Solving 31 + 8x = 17 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 31 + 8x + -6x = 17 + 6x + -6x Combine like terms: 8x + -6x = 2x 31 + 2x = 17 + 6x + -6x Combine like terms: 6x + -6x = 0 31 + 2x = 17 + 0 31 + 2x = 17 Add '-31' to each side of the equation. 31 + -31 + 2x = 17 + -31 Combine like terms: 31 + -31 = 0 0 + 2x = 17 + -31 2x = 17 + -31 Combine like terms: 17 + -31 = -14 2x = -14 Divide each side by '2'. x = -7 Simplifying x = -7
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